If ( 5c a ), ( 3b 5c ) and ( a 3b ) are in AP, where a, b, c are in GP, then a, b, c are the lengths of sides of

JEE Advanced Mathematics question

If and are in AP, where are in GP, then are the lengths of sides of

Answer: (D)

AP condition:

2 = + = ⇒ ( = ⇒ ( = 1 ⇒ 3b = 5c.

GP: . With

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Question ID VK-107786